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Finding the Fourth Proportional to 550.63, 760.29 and 364.37

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Solution

The fourth proportional to 550.63, 760.29 and 364.37 is: 503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.63 : 760.29 = 364.37 : x
  2. Step 2: Convert to fraction form
    550.63/760.29 = 364.37/x
  3. Step 3: Cross multiply
    550.63x = 760.29 × 364.37
  4. Step 4: Simplify right side
    550.63x = 277,021.70
  5. Step 5: Solve for x
    x = 277,021.70/550.63
  6. Step 6: Final answer
    x = 503.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.